Sponsor
Scott Prahl recognizes partial support from National Institutes of Health (NIH), grant 1R21DE016758-01A2.
Published In
Journal of the Optical Society of America A: Optics, Image Science and Vision
Document Type
Article
Publication Date
6-10-2009
Subjects
Diagnostic imaging, Optics -- Statistical methods, Light -- Transmission -- Mathematical models
Abstract
We present a Monte Carlo-derived Green's function for the propagation of partially spatially coherent fields. This Green's function, which is derived by sampling Huygens-Fresnel wavelets, can be used to propagate fields through an optical system and to compute first- and second-order field statistics directly. The concept is illustrated for a cylindrical f/1 imaging system. A Gaussian copula is used to synthesize realizations of a Gaussian Schell-model field in the pupil plane. Physical optics and Monte Carlo predictions are made for the first- and second-order statistics of the field in the vicinity of the focal plane for a variety of source coherence conditions. Excellent agreement between the physical optics and Monte Carlo predictions is demonstrated in all cases. This formalism can be generally employed to treat the interaction of partially coherent fields with diffracting structures.
DOI
10.1364/JOSAA.26.001533
Persistent Identifier
http://archives.pdx.edu/ds/psu/7274
Citation Details
Scott A. Prahl, David G. Fischer, and Donald D. Duncan, "Monte Carlo Green's function formalism for the propagation of partially coherent light," J. Opt. Soc. Am. A 26, 1533-1543 (2009)
Description
This paper was published in Journal of the Optical Society of America A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josaa/viewmedia.cfm?uri=josaa-26-7-1533&seq=0. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.